There's no context, but I suppose the phrase would be something like:
- Я увидела площадь, предназначенную для строительства.
Площадь is in the Accusative case (第四格), therefore предназначенную takes the Accusative as well.
However, if you use it in a title (Nominative (1st) case), then it has to be:
плащадь, предназначеннАЯ для строительства